rangkaian listrik 2 sinusoidal steady state single &three phase circuit star-delta connection...

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RANGKAIAN LISTRIK 2 RANGKAIAN LISTRIK 2 SINUSOIDAL STEADY STATE SINGLE &THREE PHASE CIRCUIT STAR-DELTA CONNECTION FREKWENSI COMPLEX LAPLACE TRANSFER FUNCTION TRANSFORMER TWO PORT NETWORK Ir. I.A.DWI GIRIANTARI,MEngSc.,PhD. SELASA, DH 102, 10.10-12.40 WITA

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Page 1: RANGKAIAN LISTRIK 2 SINUSOIDAL STEADY STATE SINGLE &THREE PHASE CIRCUIT STAR-DELTA CONNECTION FREKWENSI COMPLEX LAPLACE TRANSFER FUNCTION TRANSFORMER TWO

RANGKAIAN LISTRIK 2RANGKAIAN LISTRIK 2

SINUSOIDAL STEADY STATE SINGLE &THREE PHASE CIRCUIT STAR-DELTA CONNECTION FREKWENSI COMPLEX LAPLACE TRANSFER FUNCTION TRANSFORMER TWO PORT NETWORK

Ir. I.A.DWI GIRIANTARI,MEngSc.,PhD.

SELASA, DH 102, 10.10-12.40 WITA

Page 2: RANGKAIAN LISTRIK 2 SINUSOIDAL STEADY STATE SINGLE &THREE PHASE CIRCUIT STAR-DELTA CONNECTION FREKWENSI COMPLEX LAPLACE TRANSFER FUNCTION TRANSFORMER TWO

KONTRAK KULIAH

MIDDLE TEST/UTS = 35% ASSIGMENT/TUGAS = 15% PARTICIPATIONS = 10% FINAL EXAM/UAS = 40% TOTAL = 100%

Page 3: RANGKAIAN LISTRIK 2 SINUSOIDAL STEADY STATE SINGLE &THREE PHASE CIRCUIT STAR-DELTA CONNECTION FREKWENSI COMPLEX LAPLACE TRANSFER FUNCTION TRANSFORMER TWO

INTRODUCTORY ALTERNATING CURRENTINTRODUCTORY ALTERNATING CURRENT

PEMBANGKITAN TEGANGAN AC

Page 4: RANGKAIAN LISTRIK 2 SINUSOIDAL STEADY STATE SINGLE &THREE PHASE CIRCUIT STAR-DELTA CONNECTION FREKWENSI COMPLEX LAPLACE TRANSFER FUNCTION TRANSFORMER TWO

TWO EXPRESSION

Vm = MAKSIMUM VOLTAGEVrms= V = Vm/√2

vector representation

T

dttyT

yV0

22 )(1

y(t) is a periodic function of time t, with period T

Page 5: RANGKAIAN LISTRIK 2 SINUSOIDAL STEADY STATE SINGLE &THREE PHASE CIRCUIT STAR-DELTA CONNECTION FREKWENSI COMPLEX LAPLACE TRANSFER FUNCTION TRANSFORMER TWO

AN IDEAL RESISTOR IN AC CIRCUIT

E= Rii = E/R = (Vm/R) sin ωt = Imsin ωt atau I = E/R

Page 6: RANGKAIAN LISTRIK 2 SINUSOIDAL STEADY STATE SINGLE &THREE PHASE CIRCUIT STAR-DELTA CONNECTION FREKWENSI COMPLEX LAPLACE TRANSFER FUNCTION TRANSFORMER TWO

POWER IN RESISTOR

The instantaneous power dissipated

tIVIV

P

tItVP

ivP

mmmm

mm

2cos22

)sin)(sin(

.

T

mmav

mmmav

dttItVT

P

IRIVP

0

2

)sin)(sin(1

2

)(

2

Page 7: RANGKAIAN LISTRIK 2 SINUSOIDAL STEADY STATE SINGLE &THREE PHASE CIRCUIT STAR-DELTA CONNECTION FREKWENSI COMPLEX LAPLACE TRANSFER FUNCTION TRANSFORMER TWO
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Page 9: RANGKAIAN LISTRIK 2 SINUSOIDAL STEADY STATE SINGLE &THREE PHASE CIRCUIT STAR-DELTA CONNECTION FREKWENSI COMPLEX LAPLACE TRANSFER FUNCTION TRANSFORMER TWO

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tIi

tVv

m

ivm

cos

cos

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P is called the average powerQ is called the reactive power

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POWER FOR PURELY INDUCTIVE CIRCUITS

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POWER FOR PURELY CAPACITIVE CIRCUITS

Page 14: RANGKAIAN LISTRIK 2 SINUSOIDAL STEADY STATE SINGLE &THREE PHASE CIRCUIT STAR-DELTA CONNECTION FREKWENSI COMPLEX LAPLACE TRANSFER FUNCTION TRANSFORMER TWO

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THE POWER FACTOR

Page 15: RANGKAIAN LISTRIK 2 SINUSOIDAL STEADY STATE SINGLE &THREE PHASE CIRCUIT STAR-DELTA CONNECTION FREKWENSI COMPLEX LAPLACE TRANSFER FUNCTION TRANSFORMER TWO

above

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We now calculate P and Q directly

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THE RMS VALUE AND POWER CALCULATIONS

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Page 19: RANGKAIAN LISTRIK 2 SINUSOIDAL STEADY STATE SINGLE &THREE PHASE CIRCUIT STAR-DELTA CONNECTION FREKWENSI COMPLEX LAPLACE TRANSFER FUNCTION TRANSFORMER TWO

EXAMPLE

The average power delivered to

SOLUTION

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Page 22: RANGKAIAN LISTRIK 2 SINUSOIDAL STEADY STATE SINGLE &THREE PHASE CIRCUIT STAR-DELTA CONNECTION FREKWENSI COMPLEX LAPLACE TRANSFER FUNCTION TRANSFORMER TWO

EXAMPLE

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a). Calculate the complex power of the load.b). Calculate the impedance of the load.

Page 23: RANGKAIAN LISTRIK 2 SINUSOIDAL STEADY STATE SINGLE &THREE PHASE CIRCUIT STAR-DELTA CONNECTION FREKWENSI COMPLEX LAPLACE TRANSFER FUNCTION TRANSFORMER TWO

and

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